Guaranteed two-sided bounds on all eigenvalues of preconditioned diffusion and elasticity problems solved by the finite element method

Martin Ladecký; Ivana Pultarová; Jan Zeman

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Displaying similar documents to “Guaranteed two-sided bounds on all eigenvalues of preconditioned diffusion and elasticity problems solved by the finite element method”

$N$ -widths for singularly perturbed problems

Stynes, Martin, Kellogg, R. Bruce

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$N$ -widths for singularly perturbed problems

Martin Stynes, R. Bruce Kellogg (2002)

Mathematica Bohemica

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Kolmogorov $N$ -widths are an approximation theory concept that, for a given problem, yields information about the optimal rate of convergence attainable by any numerical method applied to that problem. We survey sharp bounds recently obtained for the $N$ -widths of certain singularly perturbed convection-diffusion and reaction-diffusion boundary value problems.